Principles of Mathematics, Grade 10, Academic
This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology and abstract reasoning. Students will explore quadratic relations and their applications, solve and apply linear systems, verify properties of geometric figures using analytic geometry, and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Prerequisite: Mathematics, Grade 9, Academic, or Mathematics Grade 9, Applied and Mathematics Transfer course, Grade 9, Applied to Academic

NOTE: Parent Teacher Interviews are on Thursday Oct 9, 2014. Please email me for an appointment.
richard.kaminski@ocdsb.ca

Course Calendar
Date
Topics/Lessons
Resources
Assigned Work ( * indicates extension question)
J14-23
Exam Prep





J13
Boardwide Summative


J5-12
Summative/Exam Review


D19
Exam/Summative Review

Complete June 20, 2012 Exam over Holiday Break
D18
Exam/Summative Review


D17
Exam/Summative Review


D16
Trigonometry Unit Test


D15
Jeopardy Review


D12
Review


p. 416 #2, 3, 5, 6, 9, 13, 14, 16
p. 453 #2, 3, 7, 8, 11, 12
D11
Application Question Period


Work period on all word problems
D10
Application Trigonometry

p. 450 #4 (see Ex.2), 9 (see Ex.1)
p. 450 #5, 8, 11, 13, 15
D9
Sine and Cosine

p. 449 #1, 2, 3 and Worksheet
D8
Cosine Law

p. 438 #2 , 3b
p. 443 #2, 3, 4, 5ac
D5
Sine Law

p. 427 #2a,c
p. 432 #2, 3ace, 5ac, 6, 14, 15
D4
Solving Double Triangles Problems

p. 413-414 #11, 15
p. 417 # 14*, 15, 16
D3
Wrestling Tournament

No HW
D2
Solving Right Triangle Problems

p. 412 #2, 3, 7, 10,
D1
Solving Right Triangles


p. 403 #3, 5a, 6a, 8a, 10, 12, 13a
N28
Intro to Trig Ratios

p.398 #7, 8, 9, 10, 11, 13
N27
Similar Triangle Problems

p.386 # 4, 6, 9, 12, 14*
N26
Congruent and Similar Triangles

Read p.374 to 378
Answer p.378 #1, 2, 4ac, 5, 6, 7ab, 8cd, 13

Makeup Quadratics II test Friday Nov 28th Morning 7:45 am




N25
Quadratics II Unit Test

No HW
N24
More Review

Study
N20
Review

File Not Found
File Not Found

p. 160#1, 2a, 3, 4, 7, 9
p. 274 #5, 7
p. 335 #7
p. 241 #19abe
p.185 #3b, 5, 9, 11ad, 12, 16
p. 304 #1a, 3, 5, 12, 15ac,
p. 361 #5, 7, 9, 11ae, 17
N19
Word Problems



p357 #2, 3, 5, 7, 9, 14
N18
Predicting the Number of Roots of Quadratics

p.350 # 2, 3, 4, 5, 7, 9, 10, 12
N17
Quadratic Formula

p.343 # 1ad, 3, 4bdf, 5ace, 8bdf, 9ad, 10cd, 14, 19*
N14
Completing the square

p.331 #2ab, 3ab, 5a, 7ab, 9, 11, 16
N13
Solving Quadratic Equations

p.320 #4ac, 6ace, 7ace, 11
N12
Work Problems - Work Period

p.264 #11, 13, 16, 20*
p.302 #9, 12, 13, 16*
N11
Remembrance Day Assembly
No Class
No HW
N10
Three Forms of Quadratic Equations

p.293 #4c, 5a, 6a, 9ac, 10c
p.301 #4c, 5ae, 7c
N7
Thinking Task
(Summative Prep)

Due Tues Nov 12th
N6
Models in Vertex Form

p. 280 #1, 2ace, 3ace, 4, 5ace, 6cd, 7b, 8(w / diagram), 10, 15
N5
Vertex Form Transformations & Sketches

p. 269 # 1 to 3, 4odd, 5odd, 6, 7odd, 10, 11, 13, 14, 15
N4
Translations of Quadratic Relations

p. 262 # 1 to 5
N3
Stretch & Reflect Quadratic Relations

p. 256 # 1, 2, 4, 5, 8




O31
Intro to Vertex Form and Graphing Calculators

No HW
Re-test Wednesday Morning 7:45
O30
Unit Test


O29
Review

File Not Found
File Not Found

Look for these types of questions on the unit test
O28
Applications of Factored Form

p. 147 # 12, 13, 14
p. 157 # 13, 14, 15
O27
Models Using Factored & Standard Form

p.175 #1, 2, 4, 6, 9, 11, 15*
O24
Factoring Practice

Complete as many as possible
O23
Factoring Strategies

p. 236 # 1, (6 to 8)ace, 9, 10, 12, 14ac, 17*
O22
Special Cases

p. 230-231 #3bc, 5, 6, 7, 10, 11, 14
O21
Factoring Complex Trinomials

p.223-224 #3bc, 5abc, 6, 7abc, 11, 15,
17 (challenging)(GCF first)
O20
Fractoring Simple Trinomials

p.211 # 2, 4; (6, 7, 8)(ace); 9ace
(look for common factors first); 12ace, 13ac
O17
Common Factoring

p.202-203 #1, 3bd, 5bc, 6def, 7, 8, 9, 10
O16
Expanding No-tiles

p.166­-167 # 3 to 5 (odd), 8 to ­10 (odd)
O15
Introduction to algebra tiles (expanding)

No HW
O14
Quadratic Relations in Factored Form

p.155 - 157 #2, 3, 4ace, 5, 6ace, 7, 10
O9
Characteristics of Quadratic Relations


Video Tutorial - Properties of the Graph of a Quadratic Relation
p.145 #1 to 6, 7ef, 9ab
O8
Intro Quadratics


Video Tutorial - Graphing Using a Table of Values - First Differences
p.137 #1, 2, 3, 4, 5ab, 6, 7




O7
Strand 1 Task

No HW
O6
Unit Test


O3
Review
File Not Found
File Not Found

File Not Found
File Not Found

Complete for HW
Test Monday
O2
Triangle Centres
Review

Review
Unit Test Monday Oct 6
O1
Special Lines in Triangles

p.79 #12
p.80 #13
p.102 #4
p.110 #13
S30
Classifying Geometric Figures


p. 101-103 2, 5, 6b, 7, 8, 11, 12, 16d
S29
Equation of a Circle

p. 91-92 # 1, 2, 3a, 4, 5, 6, 8
S26
Length of a line segment

p. 86-87 #1ac, 4cd, 6, 7(draw), 12ab, 15
S25
Midpoint

78 to 80 #2ac, 3, 4e, 5, 6, 8, 9, 11
S24
Slope and the equation of a line


p 69-70 #3, 5abc, 6
S23
UNIT TEST

No HW
S22
Review
File Not Found
File Not Found

File Not Found
File Not Found

Review for Test Tomorrow
p. 62 #5a, 6, 7bc,9, 12acd, 13, 14, 16, 17, 18.

Extra Word Problems Answers included in doc
S19
Application of Linear Systems - Geometry/Money


p. 40 #17
p. 55 #9
Plus one question on handout

Review for Test (Tuesday)
p. 62 #5a, 6, 7bc,9, 12acd, 13, 14, 16, 17, 18.
S18
Applications of Linear Systems -Percent /Mixture

p.27 #7
p. 39 #11
p. 55#10 and 11
and complete dvt problems
S17
Applications of Linear Systems

File Not Found
File Not Found


p.27 #8
p.55 #13
p. 64 #7
and WS dvt Problems
S16
Modeling with Linear Equations

p.27 #8, 12, 13
p.39 #10, 11, 14, 15
p.55 #8, 9
S15
Distinct or Coincident Lines

p. 59 # 1, 2a, 3abcfh, 4, 6*
*extension question
S12
Solving Linear Systems by Elimination

Video Tutorial - Solving Linear Systems by Elimination
p.54 #1, 4, 6odd, 11odd, 20*
*extension question
S11
Solving Linear Systems by Substitution

Video Tutorial - Solving Linear Systems by Substitution
p. 39-40 # 3, 4bf, 5be, 9bcef
S10
Solving Linear Systems Graphically

Video Tutorial - Solving Linear Systems by Graphing
Watch Video Tutorial
p. 26 # 1ab, 2i, 3ab, 5abf, 10, 18*
*extension question
S09
Grade 9 Review Test

No HW
S08
04 Grade 9 Review

Complete for HW
Test Tomorrow
S05
03 Review Linear Relationships

p. 4,5, 6 #2 to 4, 5ace, 7abc, 11acf
S04
02 Review Simplify and Solve

p.471 #1abf, 2bc, 3, 4ac, 5cd, 6bc
p.472 #1def, 3
S03
01 Review Number & Operations

p. 461 #1,3,4,5
p.462 #1,2
p.463 #1 to 5
S02
Welcome to MPM2D

No HW